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Finding the Third Proportional to 362,886.75 and 564,202.13

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Solution

The third proportional to 362,886.75 and 564,202.13 is: 877,199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,886.75 : 564,202.13 = 564,202.13 : x
  2. Step 2: Convert to fraction form
    362,886.75/564,202.13 = 564,202.13/x
  3. Step 3: Cross multiply
    362,886.75x = 564,202.13 × 564,202.13
  4. Step 4: Simplify right side
    362,886.75x = 318,324,037,854.52
  5. Step 5: Solve for x
    x = 318,324,037,854.52/362,886.75
  6. Step 6: Final answer
    x = 877,199.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.